Two putty balls of equal mass moving with equal velocity in mutually perpendicular directions, s...

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Two putty balls of equal mass moving with equal velocity in mutually perpendicular directions, stick together after collision. If the balls were initially moving with a velocity of \( 45 \sqrt{2} \mathrm{~ms}^{-1} \) each, the velocity of their combined mass after collision is
[Haryana CEE 1996; BVP 2003]
(a) \( 45 \sqrt{2} \mathrm{~ms}^{-1} \)
(b) \( 45 \mathrm{~ms}^{-1} \)
(c) \( 90 \mathrm{~ms}^{-1} \)
(d) \( 22.5 \sqrt{2} \mathrm{~ms}^{-1} \)
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